Units: 4 (3 Lecture/1 Discussion)
Prerequisite: EEC 100
Catalog Description: Analysis and design of feedback control systems. Examples are drawn from electrical and mechanical systems as well as other engineering fields. Mathematical modeling of systems, stability criteria, root-locus and frequency domain design methods. GE Credit: SE
ABET Student Outcomes:
1) The lectures devote considerable time to design issues and design methods. Early in the course, a simple design problem (design of a position control system) is discussed to highlight design issues. Stability and performance (Sections IV and V) are discussed regarding design requirements. The root-locus and frequency response methods are presented as design tools, and several examples illustrate their use.
2) A computer-aided design laboratory supports the design material introduced in the lectures. Students employ MATLAB and the associated Control Systems Toolbox to carry out design exercises that effectively illustrate root-locus and frequency response methods for control system design. The laboratory work culminates in four open-ended design projects allocated 35% of the final grade. Approximately 50% of the homework is related to design. The midterm and the final examination have several questions on the design of control systems to satisfy given performance objectives.
3) Students who have completed this course should have achieved:
a) Student Outcome 1: an ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics.
b) Student Outcome 5: an ability to function effectively on a team whose members together provide leadership, create a collaborative and inclusive environment, establish goals, plan tasks, and meet objectives.
c) Student Outcome 6: an ability to develop and conduct appropriate experimentation, analyze and interpret data, and use engineering judgment to draw conclusions.
Expanded Course Description:
I. Introduction to Control Systems
A. Definition of Control Systems
B. Examples of Modern Control Systems
II. Mathematical Preliminaries
A. Linear and Nonlinear Systems
B. Linear Approximations of Physical Systems
C. Differential Equations of Systems
D. The Laplace Transform
E. Analysis of Electrical and Mechanical Systems in the s-Domain
F. Transfer Functions
G. Block-Diagram Representations
III. Mathematical Modeling and Control of Linear Feedback Systems
A. Transfer Functions of Systems with Op-Amps
B. Electro-mechanical Systems
C. Modeling of DC Motors
D. Design of a Speed Control System
E. Design of a Position Control System
F. Comparison of Disturbance Reduction
G. Transient Response
H. Steady State Error
I. Sensitivity to Parameter Variations in Open-Loop and Closed-Loop Control Systems
J. The Cost of Feedback
K. Signal Flow Graphs
L. Mason's Rule
IV. Stability of Linear Feedback Systems
A. The Concept of Stability
B. BIBO Stability
C. Routh-Hurwitz Stability Criterion
D. Relative Stability
E. Location of Open-Loop and Closed-Loop Poles
F. Design of Stable Systems
V. Performance of Feedback Control Systems
A. Design Requirements Based on Time-Domain Specifications
B. The Location of Poles and the Transient Response
C. Steady-State Error
VI. The Root-Locus Method
A. The Rules of the Root-Locus Method
B. Analysis and Design Using the Root-Locus Method
C. Parameter Design
D. Sensitivity and Frequency Response
VII. The Nyquist Stability Criterion
A. Contour Mapping in the S-Plane
B. The Nyquist Criterion
C. Relative Stability
D. Closed-Loop Frequency Response
E. Design of Stable Systems using the Nyquist Criterion
F. Stability of Systems with Time Delays
VIII. Frequency Response Methods
A. The Bode Plot
B. Performance Specifications in the Frequency Domain
C. Magnitude and Phase Plots
D. Design of Feedback Systems Using Frequency Response Methods
